{
 "cells": [
  {
   "cell_type": "raw",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    ".. _nb_decomposition:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Decomposition"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Also, multi-objective problems can be decomposed using a scalarization function.\n",
    "In the following, the contour lines of different methods are shown.\n",
    "\n",
    "Let us first make the necessary imports and define the points in the design space:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from pymoo.factory import get_decomposition\n",
    "from pymoo.util.misc import all_combinations\n",
    "\n",
    "# number of points to be used for plotting\n",
    "n_points = 100\n",
    "\n",
    "# the xlim\n",
    "P = np.linspace(0, 3, n_points)\n",
    "\n",
    "# used for the meshgrid\n",
    "X = all_combinations(P,P)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A method to plot the contours:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_contour(X, F):\n",
    "    _X = X[:, 0].reshape((n_points,n_points))\n",
    "    _Y = X[:, 1].reshape((n_points,n_points))\n",
    "    _Z = F.reshape((n_points,n_points))\n",
    "    \n",
    "    fig, ax = plt.subplots()\n",
    "    ax.contour(_X,_Y, _Z, colors='black')\n",
    "    ax.arrow(0, 0, 2.5, 2.5, color='blue', head_width=0.1, head_length=0.1, alpha=0.4)\n",
    "    ax.set_aspect('equal')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And then define the weights to be used by the decomposition functions:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "weights = [0.5, 0.5]"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    ".. _nb_weighted_sum:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Weighted Sum"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 252,
       "width": 262
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_contour(X, get_decomposition(\"weighted-sum\").do(X, weights=weights))"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    ".. _nb_tchebyshev:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Tchebysheff"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 252,
       "width": 262
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_contour(X, get_decomposition(\"tchebi\").do(X, weights=weights))"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    ".. _nb_asf:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Achievement Scalarization Function (ASF)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Details can be found in <cite data-cite=\"asf\"></cite>."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 252,
       "width": 262
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_contour(X, get_decomposition(\"asf\", eps=0).do(X, weights=weights))"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    ".. _nb_aasf:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Augmented Achievement Scalarization Function (AASF)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Details can be found in <cite data-cite=\"aasf\"></cite>."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 252,
       "width": 262
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_contour(X, get_decomposition(\"aasf\", eps=0, beta=5).do(X, weights=weights))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 252,
       "width": 262
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_contour(X, get_decomposition(\"aasf\", eps=0, beta=25).do(X, weights=weights))"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    ".. _nb_pbi:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### PBI"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 252,
       "width": 262
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_contour(X, get_decomposition(\"pbi\", theta=0.5, eps=0).do(X, weights = weights))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 252,
       "width": 262
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_contour(X, get_decomposition(\"pbi\", theta=1, eps=0).do(X, weights = weights))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 252,
       "width": 262
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_contour(X, get_decomposition(\"pbi\", theta=5, eps=0).do(X, weights = weights))"
   ]
  }
 ],
 "metadata": {
  "celltoolbar": "Raw Cell Format",
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  },
  "pycharm": {
   "stem_cell": {
    "cell_type": "raw",
    "metadata": {
     "collapsed": false
    },
    "source": []
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
